Energy Distribution of a Charged Regular Black Hole

Radinschi, Irina

doi:10.1142/s0217732301003711

Cited by 49 publications

(29 citation statements)

References 19 publications

(14 reference statements)

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“…In this approximation the total energy is independent of the constant η. Finally we notice that the result (41) agrees with that given before [33,37].…”

Section: The Energy Associated With Each Solutionsupporting

confidence: 91%

Reissner–nordström Space–time in the Tetrad Theory of Gravitation

Nashed

Shirafuji

2007

Int. J. Mod. Phys. D

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We give two classes of spherically symmetric exact solutions of the couple gravitational and electromagnetic fields with charged source in the tetrad theory of gravitation. The first solution depends on an arbitrary function H(R, t). The second solution depends on a constant parameter η. These solutions reproduce the same metric, i.e., the Reissner-Nordström metric. If the arbitrary function which characterizes the first solution and the arbitrary constant of the second solution are set to be zero, then the two exact solutions will coincide with each other. We then calculate the energy content associated with these analytic solutions using the superpotential method. In particular, we examine whether these solutions meet the condition which Møller required for a consistent energy-momentum complex: Namely, we check whether the total four-momentum of an isolated system behaves as a four-vector under Lorentz transformations. It is then found that the arbitrary function should decrease faster than 1/ √ R for R → ∞. It is also shown that the second exact solution meets the Møller's condition.

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“…In this approximation the total energy is independent of the constant η. Finally we notice that the result (41) agrees with that given before [33,37].…”

Section: The Energy Associated With Each Solutionsupporting

confidence: 91%

Reissner–nordström Space–time in the Tetrad Theory of Gravitation

Nashed

Shirafuji

2007

Int. J. Mod. Phys. D

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“…At the same time Bondi [18] sustained that a nonlocalizable form of energy is not admissible in relativity so its location can in principle be found. Since then, numerous works on evaluating the energy distribution of several gravitational backgrounds have been completed employing the abandoned for a long time approach of energymomentum complexes [19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38]. In 1996 Aguirregabiria, Chamorro and Virbhadra [39] showed that five different 2 energymomentum complexes yield the same energy distribution for any Kerr-Schild class metric.…”

Section: Introductionmentioning

confidence: 99%

Energy Distribution in 2d Stringy Black Hole Backgrounds

Vagenas

2003

Int. J. Mod. Phys. A

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We utilize Møller's and Einstein's energy-momentum complexes in order to explicitly evaluate the energy distributions associated with the two-dimensional "Schwarzschild" and "Reissner-Nordström" black hole backgrounds. While Møller's prescription provides meaningful physical results, Einstein's prescription fails to do so in the aforementioned gravitational backgrounds. These results hold for all twodimensional static black hole geometries. The results obtained within this context are exploited in order Seifert's hypothesis to be investigated.

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“…In addition to the standard vacuum case, Salti looked at the viscous Kasner universe in teleparallel gravity [36] using the Einstein and Landau-Lifshitz formulations and found the total energy and momentum to be identically zero. Generalizing these findings to another anisotropic cosmology, Radinschi examined the energy-momentum of the Bianchi type VIO universe using a number of different measures, finding that all the components vanish [37].…”

Section: Introductionmentioning

confidence: 96%